A truth-maker semantics for ST: refusing to climb the strict/tolerant hierarchy

Synthese 200 (5):1-23 (2022)
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Abstract

The paper presents a truth-maker semantics for Strict/Tolerant Logic (ST), which is the currently most popular logic among advocates of the non-transitive approach to paradoxes. Besides being interesting in itself, the truth-maker presentation of ST offers a new perspective on the recently discovered hierarchy of meta-inferences that, according to some, generalizes the idea behind ST. While fascinating from a mathematical perspective, there is no agreement on the philosophical significance of this hierarchy. I aim to show that there is no clear philosophical significance of meta-inferences above the first level.

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Author's Profile

Ulf Hlobil
Concordia University

Citations of this work

A cut-free modal theory of consequence.Edson Bezerra - 2025 - Asian Journal of Philosophy 4 (1):1-21.

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References found in this work

Outline of a theory of truth.Saul Kripke - 1975 - Journal of Philosophy 72 (19):690-716.
Truth and truthmakers.D. M. Armstrong - 2004 - New York: Cambridge University Press.
Paradoxes and Failures of Cut.David Ripley - 2013 - Australasian Journal of Philosophy 91 (1):139 - 164.
Angellic Content.Kit Fine - 2016 - Journal of Philosophical Logic 45 (2):199-226.
A Theory of Truthmaker Content I: Conjunction, Disjunction and Negation.Kit Fine - 2017 - Journal of Philosophical Logic 46 (6):625-674.

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